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Simplifying 5(2x + 3) + -3x = 5x + 1 Reorder the terms: 5(3 + 2x) + -3x = 5x + 1 (3 * 5 + 2x * 5) + -3x = 5x + 1 (15 + 10x) + -3x = 5x + 1 Combine like terms: 10x + -3x = 7x 15 + 7x = 5x + 1 Reorder the terms: 15 + 7x = 1 + 5x Solving 15 + 7x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + 7x + -5x = 1 + 5x + -5x Combine like terms: 7x + -5x = 2x 15 + 2x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 2x = 1 + 0 15 + 2x = 1 Add '-15' to each side of the equation. 15 + -15 + 2x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 1 + -15 2x = 1 + -15 Combine like terms: 1 + -15 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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